"...This is a text dealing with the basics of quantum mechanics and electronic structure theory. It provides
an introduction to molecular spectroscopy (although most classes on this subject will require additional material) and
to the subject of molecular dynamics (whose classes again will require additional material)..."

Chapter 1: Quantum mechanics describes matter in terms of wavefunctions and energy levels. physical measurements are described in terms of operators acting on wavefunctions;
Chapter 2: Approximation methods can be used when exact solutions to
the Schrödinger equation can not be found;
Chapter 3: Application of the Schrödinger equation to the motions
of electrons and nuclei in a molecule lead to the chemists' picture
of electronic energy surfaces on which vibration and
rotation occurs and among which transitions take place;

"...solves the Quantum Mechanical Hydrogenic Wave Function and then paints a
picture showing the amplitude of Psi in the x-z plane a certain number of
Bohr radii from the nucleus. The reason the Applet graphs the amplitude of Psi
instead of the modulus squared (the actual probability of finding the
electron an x number of Bohr radii from the nucleus) is due to limitations
in the color scale..."

"...features a quantized harmonic oscillator coupled to a
two-level system. The parameters in (1) are referred to,
in the text Fields below, as the "spin frequency",
"oscillator frequency" and "coupling"..."

"...Fermi surfaces, Fermi velocities and character of the electronic states at the
Fermi surfaces are visualised based on ab initio electronic structure calculations
within a scalar-relativistic or fully relativistic optimized LCAO scheme for
the light and heavy elements, respectively..."
"...The velocity at the Fermi surface is indicated by continuously changing
colours from low velocity states (blue) to high velocity states (red)..."

"...these states of harmonic oscillator, so called coherent states, are known
as Glauber states, and they are known as single harmonic oscillator
prototypes of the coherent states of oscillating
electromagnetic field, which are the model of ideal continuous
wave laser field, or an electromagnetic field of unmodulated radio wave..."

"...This Peano curve is called a plane-filling curve, because a square of
given size will be filled ever denser by successive generations of this
Peano curve. More mathematically: Given an arbitrairy point in the square
and an epsilon > 0, no matter how small, there will be an N such that
the Nth generation Peano curve passes by the given point at a distance
smaller than epsilon..."

"...is constructed by the user (you) at the
object editor, on the upper part of the applet. The object
is made of cubical parts. If the teleportation button is
clicked, the information of the object is sent to the
virtual factory(receiver) on the lower part of the applet.
The identical object is constructed..."

Immersions and Embeddings. Proof of the embeddibility of comapct manifolds in Euclidean space;
Definition of differential structures and smooth mappings between manifolds;
Proofs of the inverse function theorem and the rank theorem;
Proof of Whitney's 2n+1 embedding theorem;
Various definitions of orientability and the proof of their equivalence.
Proof of the nonorientability of the Mobius strip and the nonembeddability of the
real projective plane in R3. Proof that RPn is oreintable for n odd and is not
orientable for n even;
Definition of a Riemannian metric, and examples of Riemannian manifolds,
including quotients of isometry groups and the hyperbolic space. The notion of
distance on a Riemannian manifold and proof of the equivalence of the
metric topology of a Riemannian manifold with its original topology;
Riemannian connections, brackets, proof of the fundamental theorem of Riemannian geometry,
induced connection on Riemannian submanifolds, reparameterizations and speed of geodesics,
geodesics of the Poincare's upper half plane;
Exponential map and geodesic flow; etc..."

"...The main emphasis is on the geometry of symplectic manifolds, but the
material also includes long digressions into complex geometry and the
geometry of 4-manifolds, with special emphasis on topological considerations..."

Examples from over "22" "Geometry of Manifolds" Course Lectures include

"...calculates physical properties at relativistic speeds. You
input the speed of the object, its mass, length, and clock time, and
the calculator will automatically calculate what the object will
look like to you..."

"...a computer algebra package for performing calculations in the general area of
differential geometry. Its purpose is the calculation of tensor components
on curved spacetimes specified in terms of a metric or set of basis vectors..."

"...explains the scientific principles that are so essential to the NASCAR experience..."
"...This video series uses the elements of NASCAR to show that a racecar really is a science experiment on wheels..."

"...looks at the physics involved in designing and driving fast racing cars. It
will concentrate mainly on four wheeled, petrol driven vehicles, but the same
physical problems apply to all kinds of vehicles..."

Examples of "Physics of Motorsport" Course Chapters include

"...Power or Torque?;
The Straights;
The Racing Line;
Skids and Why they Happen; etc..."

"...There is a tremendous amount of physics and engineering that goes
into the design of a baseball or softball bat, especially the new high-tech
aluminum and composite bats which are currently dominating the market. There
is also an amazing amount of physics involved in the bat-ball collision,
and in the performance and behavior of the bat itself..."

Examples of "Physics and Acoustics of Baseball and Softball Bats" Lessons include

"...What happens when ball meets bat?;
How large are the forces between bat and ball?;
How does bat weight affect swing speed and ball velocity?;
Which matters more: total weight or mass distribution (inertia)?;
What is the COP (center of percussion) and does it matter?;
What (and where) is the sweet spot of a bat?; etc..."

"...The Physics of Baseball;
The Effect of Spin on the Flight of a Baseball;
The Physics of the Trampoline Effect in Baseball and Softball Bats;
How to Hit Home Runs: Optimum Baseball Bat Swing Parameters for Maximum Range Trajectories;
Paradoxical popups: Why are they hard to catch?;
Newton in the Batter's Box;
Baseball at High Altitude; etc..."

"...The expert version includes the effects of aerodynamic drag and weight on
the flight of the ball. The resulting flight path is three dimensional, so
you must specify some additional parameters not found on the student version. You
can also view the results of the pitch from behind home plate..."

"...All that is necessary to create lift is to turn a flow of air. The airfoil
of a wing turns a flow, and so does a rotating cylinder. A spinning ball also
turns a flow and generates an aerodynamic lift force. The details of how a
spinning ball creates lift are fairly complex. Next to any surface, the molecules
of the air stick to the surface, as discussed in the properties of air slide. This
thin layer of molecules entrains or pulls the..."

"...As the force acts on the ball, it is deflected along its flight path. If
we neglect the viscous forces on the ball, which slow it down and change the
magnitude and direction of the force, we have a constant force always
acting perpendicular (at a right angle) to the flow direction..."

"...Side-English cue-tip reaction for a very large offset, slow speed, double-hit miscue shot Video;
Kick shot perpendicular to the rail with English Video;
Draw shot with small offset, firm grip, punch stroke, slow speed, and about 1.5 feet of draw Video;
Cut shot with outside English and slow speed Video;
Two frozen object balls hit with a 15-degree approach angle stop shot at slow and fast speeds Video;
English and squirt for a soft tip at slow speed and increasing offsets Video;
Power break - cue follow-through Video;
Rail cut-shot hitting the ball first early with OE; etc..."

"...Executing Basic Shots Videos;
Spin and English Videos;
Position Play and Strategy Videos;
Bank and Kick Shots Videos;
Advanced Techniques (Shot Making) Videos;
Additional clips not referenced in the book

"...The Effects of Ball Inelasticity and Friction on the 90 Degress Rule;
The Effects of English on the 30 Degress Rule;
Cue accelerometer measurements;
The relationship between cue ball spin and cue tip offset;
The effect of spin, speed, and cut angle on draw shots;
The physics of squirt;
Draw shot physics; etc..."

"...A billiards game with realistic physics was implemented
in C++ and OpenGL. The game incorporated some user assists such as line
of sight etc, complete haptics integration from the device and auditory feedback..."

"...Here, we study the mechanics of the simplest rope trick, the Flat Loop,
in which the rope is driven by the steady circular motion of the roper's hand
in a horizontal plane. We first consider the case of a fixed (non-sliding) honda.
Noting that the rope's shape is steady in the reference frame rotating with the hand,
we analyse a string model in which line tension is balanced by the centrifugal force
and the rope's weight. We use numerical continuation..."

"...A boat accelerates through the action/reaction principle (Newton's 3rd Law).
You move water one way with your oar, the boat moves the other way.
The momentum (=mass x velocity) you put into the water will be equal and
opposite to the momentum acquired by the boat...During
the normal stroke (i.e. with the boat already moving) it is less obvious
that water is moved backwards in order to keep the boat moving forwards
since the blades appear to 'lock' in where they are placed, but..."

"...This text is careful to address the interests and back ground not only of physicists,
but of sophisticated students and researchers in mathematics, biology, engineering,
computer science, and the social sciences...."

Examples of "Statistical Mechanics: Entropy, Order Parameters, and Complexity" Textbook Chapters include

"...Since string theory is quantum mechanics of a relativistic string,
the foundations of the subject can be explained to students exposed to
both special relativity and basic quantum mechanics. This course develops
the aspects of string theory and makes it accessible to students
familiar with basic electromagnetism and statistical mechanics..."

Examples from over "24" "String Theory for Undergraduates" Course Lectures include

"...is a science and, more importantly, an engineering tool used to describe
processes that involve changes in temperature, transformation of energy,
and the relationships between heat and work..."

Examples of "Thermodynamics" Course Chapters include

"...Introduction to Thermodynamics;
The First Law of Thermodynamics;
The First Law Applied to Engineering Cycles;
Background to the Second Law of Thermodynamics;
The Second Law of Thermodynamics;
Applications of the Second Law;
Entropy on the Microscopic Scale;
Power Cycles with Two-Phase Media;
Introduction to Propulsion;
Integral Momentum Equation;
Generating Heat: Thermochemistry;
Conductive Heat Transfer;
Convective Heat Transfer; etc..."

"...Thermodynamics is essentially the study of the internal motions
of many body systems. Virtually all substances which we encounter in
everyday life are many body systems of some sort or other (e.g., solids,
liquids, gases, and light). Not surprisingly, therefore, thermodynamics
is a discipline with an exceptionally wide range of applicability..."

"...is developed and maintained by MAYA Heat Transfer Technologies in Montreal,
Quebec, Canada. We hope you find it is a useful tool to help you understand
common heat transfer problems and thermal phenomena. Although we try and test
the tools to ensure quality, this tool is provided for your personal use..."

"...This applet accesses the MELTS CORBA server at OFM Research Inc.
It allows the user to perform simulations of crystallization and
assimilation in magmatic systems under various evolution scenarios,
such as adiabatic decompression melting, fractional crystallization, etc..."

Geothermometer Applet

"...This applet is a pre-alpha release GUI prototype of a user configurable
geothermometer. Once completed. theapplet will permit on-the-fly creation
of mineral geothermometers by allowing the user to select among internally
consistent thermodynamic models for phases, mixing and matching endmembers,
until univariant reactions are..."

Phase Properties Applet

"...This applet accesses the "phase properties" CORBA server
at OFM Research Inc. It allows the user to select a phase,
optionally input its composition, convert between practical
and thermodynamic components, and..."

"...allows one to select a pure component or a mixture of
components and produce a graph of pressure vs. volume with
lines of constant temperature. A second graph is
pressure vs. enthalpy with lines of constant temperature..."

Thermodynamic Properties Calculator (with Final Pressure Other Than One Atmosphere)

"...allows one to select a pure component or a mixture of
components and determine the vapor-liquid split (if two-phase),
the liquid and vapor densities, enthalpies, heat capacities,
and compositions at an input temperature and pressure..."

Thermodynamic Properties Calculator (for Light Hydrocarbons)

"...designed to allow users to select a pure component
or a mixture of components and determine the vapor-liquid
split (if two-phase), the liquid and vapor densities, enthalpies,
heat capacities, and compositions at an input temperature
and pressure..."

Dew Points and Bubble Points Calculator

"...allows one to select a pure component or a mixture of
components and calculate dew points and bubble points. This page
is uses the Peng-Robinson equation of state to predict
the properties of these mixtures..."

"...provides a representation
of phase stability relationships in abinary system
with up to 4 phases...&...will compute and display
the G-X diagram in the panel at upper-right and
isobaric and isothermal sections in the lower panels..."

"...is a program which calculates chemical equilibrium product concentrations
from any set of reactants and determines thermodynamic and
transport properties for the product mixture. Built-in applications
include calculation of theoretical rocket performance, Chapman-Jouguet
detonation parameters, shock tube parameters, and combustion properties..."
"...Associated with the program are independent databases with transport
and thermodynamic properties of individual species. Over 2000 species are
contained in the thermodynamic database..."

Thermo Build

"...developed for use with computer programs that require standard
state thermodynamic properties of individual species..."

CAP (Coefficients And Properties)

"...generates tables of thermodynamic functions for individual species
from thermodynamic data in the NASA format..."

PAC (Properties And Coefficients)

"...is used to prepare input thermodynamic data in the format
required by CEA, from gas-phase spectroscopic constants or tabulated
literature data..."

"...play an important
role in the prediction of the extent of reaction and the
position of equilibrium for any process in which these
reactions occur..."
"...The data presented herein is limited to direct equilibrium and
calorimetric measurements performed on these reactions under in
vitro conditions. This is the principal thermodynamic information
that is needed to determine the position of equilibrium of a
given reaction..."

Examples of "Enzyme Catalyzed Reactions" using predefined values include

"...Reaction calculates changes in extensive thermochemical functions (H, G, V, S, Cp, A)
for a species, a group of species, or a chemical reaction..."
"...Select the units, specify a temperature range and
enter a chemical reaction - Up to 2 reactants and 2 products
may be entered..."
"...If the reaction is unbalanced (and contains no charged ions),
Reaction-Web attempts to balance it before computing the properties..."

Predom-Web - One-metal Isothermal Predominance Area Diagram

"...generates an isothermal predominance area diagram that shows
which possible compound phases are most stable over the specified
ranges of the axes...."

"...users have access to databases of thermodynamic data for
thousands of compounds as well as to evaluated and optimized
databases for hundreds of solutions of metals,
liquid and solid oxide solutions, mattes, molten and
solid salt solutions, aqueous solutions, etc..."

With FactSage

"...you can calculate the conditions for multiphase,
multicomponent equilibria, with a wide variety of
tabular and graphical output modes, under a large range
of constraints. For example, general N-component
phase diagram sections can be easily generated with a wide
choice of axis variables; matte/metal/slag/gas/solid equilibria
can be accurately calculated, tabulated and plotted
for industrial systems; multicomponent predominance
and EpH diagrams..."

"...includes essentially all reported
kinetics results for thermal gas-phase chemical reactions. The database
is designed to be searched for kinetics data based on the
specific reactants involved, for reactions resulting in
specified products, for all the reactions of a particular
species, or for various combinations of these..."

"...presently contains 23,675 distinct
records with a total of 29,141 rate constants..."
"...Enter the reactant(s), product(s), and/or
solvent(s) in the fields below. Compounds may
be entered by formula, name, or CAS number..."

"...information, tutorial material and worked examples for
petrology students interested in extracting pressure-temperature information
from rocks. It is assumed that you have completed a typical undergraduate
petrology course..."

"...is a thermodynamic calculation software package
for tackling mineral equilibria problems. It has two main components:
the application itself, and the internally-consistent
thermodynamic dataset it uses..."